Polygonal Angles 3 – Vertex Angles
An equilateral triangle has an internal angle sum of
and each vertex has angles of
. A square has an internal angle sum of
and each vertex has an angle of
. A regular pentagon has an internal angle sum of
. What is the angle at each vertex of a regular pentagon?
The answer is 108.
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8 solutions
The sum of all exterior angles for a convex polygon is 360, no matter how many vertices. Then one angles is the difference to 180 of one exterior angle. 180-(360/5)=108.